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Simplifying 2x + -8y(-7 + -1x) = 6 2x + (-7 * -8y + -1x * -8y) = 6 Reorder the terms: 2x + (8xy + 56y) = 6 2x + (8xy + 56y) = 6 Solving 2x + 8xy + 56y = 6 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-56y' to each side of the equation. 2x + 8xy + 56y + -56y = 6 + -56y Combine like terms: 56y + -56y = 0 2x + 8xy + 0 = 6 + -56y 2x + 8xy = 6 + -56y Reorder the terms: -6 + 2x + 8xy + 56y = 6 + -56y + -6 + 56y Reorder the terms: -6 + 2x + 8xy + 56y = 6 + -6 + -56y + 56y Combine like terms: 6 + -6 = 0 -6 + 2x + 8xy + 56y = 0 + -56y + 56y -6 + 2x + 8xy + 56y = -56y + 56y Combine like terms: -56y + 56y = 0 -6 + 2x + 8xy + 56y = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-3 + x + 4xy + 28y) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-3 + x + 4xy + 28y)' equal to zero and attempt to solve: Simplifying -3 + x + 4xy + 28y = 0 Solving -3 + x + 4xy + 28y = 0 Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + x + 4xy + 3 + 28y = 0 + 3 Reorder the terms: -3 + 3 + x + 4xy + 28y = 0 + 3 Combine like terms: -3 + 3 = 0 0 + x + 4xy + 28y = 0 + 3 x + 4xy + 28y = 0 + 3 Combine like terms: 0 + 3 = 3 x + 4xy + 28y = 3 Add '-28y' to each side of the equation. x + 4xy + 28y + -28y = 3 + -28y Combine like terms: 28y + -28y = 0 x + 4xy + 0 = 3 + -28y x + 4xy = 3 + -28y The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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